What is the Greatest Common Factor of 69561 and 69570?

Greatest common factor (GCF) of 69561 and 69570 is 9.

GCF(69561,69570) = 9

We will now calculate the prime factors of 69561 and 69570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69561 and 69570.

How to find the GCF of 69561 and 69570?

We will first find the prime factorization of 69561 and 69570. After we will calculate the factors of 69561 and 69570 and find the biggest common factor number .

Step-1: Prime Factorization of 69561

Prime factors of 69561 are 3, 59, 131. Prime factorization of 69561 in exponential form is:

69561 = 3² × 59¹ × 131¹

Step-2: Prime Factorization of 69570

Prime factors of 69570 are 2, 3, 5, 773. Prime factorization of 69570 in exponential form is:

69570 = 2¹ × 3² × 5¹ × 773¹

Step-3: Factors of 69561

List of positive integer factors of 69561 that divides 69561 without a remainder.

1, 3, 9, 59, 131, 177, 393, 531, 1179, 7729, 23187

Step-4: Factors of 69570

List of positive integer factors of 69570 that divides 69561 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 773, 1546, 2319, 3865, 4638, 6957, 7730, 11595, 13914, 23190, 34785

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69561 and 69570. The biggest common factor number is the GCF number.
So the greatest common factor 69561 and 69570 is 9.

Also check out the Least Common Multiple of 69561 and 69570